9514 1404 393
Answer:
Step-by-step explanation:
The extrema will be at the ends of the interval or at a critical point within the interval.
The derivative of the function is ...
f'(x) = 3x² -4x -4 = (x -2)(3x +2)
It is zero at x=-2/3 and at x=2. Only the latter critical point is in the interval. Since the leading coefficient of this cubic is positive, the right-most critical point is a local minimum. The coordinates of interest in this interval are ...
f(0) = 2
f(2) = ((2 -2)(2) -4)(2) +2 = -8 +2 = -6
f(3) = ((3 -2)(3) -4)(3) +2 = -3 +2 = -1
The absolute maximum on the interval is f(0) = 2.
The absolute minimum on the interval is f(2) = -6.
Answer:
14. D
15. A
16. A
Step-by-step explanation:
14. Point slope form formula: y-y₁=m(x-x₁).
When graphing you always want to think x/y for your slope.
X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.
If your slope is does not come out correct, then you can prove your point.
15. The given information is (-2,2): m=-1.
Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)
Your answer: y-2=-(x+2)
16. Given: y=4x-7; (3,0)
Parallels lines: Same slope different y-intercepts.
A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.
30 + 70 + D = 180
100 + D = 180
D = 80°